1. The company is worried about possible upcoming labor shortages. How much does the optimal profit change per hour reduction in the amount of labor available?

2. If the amount of labor hours decreases too far, at what amount of labor hours available does your answer to question #1 start to change?

3. How much would the optimal profit amount change if we were able to find 5 additional pumps?

4. By how much could we increase the selling price of the aqua-spa before the optimal answer would result in producing a different amount of hydro-spas?

5. By how much would the unit profit on the hydro-luxes have to change before the optimal product mix changes?

6. Create a spider plot showing the impact on the optimal profit if the amount of tubing available changes from 2,000 to 3,000 in increments of 100.

Objective Function Aqua Spa Hydro Luxe Total Profit \begin{tabular}{l|l|l|l|} Total Profit & 350 & 300 & 66,100 \end{tabular} Decision Variables Aqua Spa Hydro Luxe \begin{tabular}{l|l|l|} Quantity & 122 & 78 \end{tabular} Constraints Aqua Spa Hydro Luxe Amount Needed Constraint \begin{tabular}{|r|c|c|c|c|} \hline Pumps & 1 & 1 & 200 & 200 \\ \hline Labor & 9 & 6 & 1,566 & 1,566 \\ \hline Tubing & 12 & 16 & 2,712 & 2,880 \\ \hline \end{tabular}